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814213 is a prime number
BaseRepresentation
bin11000110110010000101
31112100220001
43012302011
5202023323
625241301
76630541
oct3066205
91470801
10814213
11506804
12333231
132267aa
14172a21
151113ad
hexc6c85

814213 has 2 divisors, whose sum is σ = 814214. Its totient is φ = 814212.

The previous prime is 814211. The next prime is 814237. The reversal of 814213 is 312418.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 804609 + 9604 = 897^2 + 98^2 .

It is a cyclic number.

It is not a de Polignac number, because 814213 - 21 = 814211 is a prime.

Together with 814211, it forms a pair of twin primes.

814213 is a lucky number.

It is a plaindrome in base 13 and base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407106 + 407107.

It is an arithmetic number, because the mean of its divisors is an integer number (407107).

2814213 is an apocalyptic number.

It is an amenable number.

814213 is a deficient number, since it is larger than the sum of its proper divisors (1).

814213 is an equidigital number, since it uses as much as digits as its factorization.

814213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 19.

The square root of 814213 is about 902.3375200001. The cubic root of 814213 is about 93.3783102385.

The spelling of 814213 in words is "eight hundred fourteen thousand, two hundred thirteen".